Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(15)÷(23)×(−56)÷(34)
(1 point)
Responses
−16
negative Start Fraction 1 over 6 End Fraction
16
Start Fraction 1 over 6 End Fraction
23
Start Fraction 2 over 3 End Fraction
−23
To solve this problem, we will multiply and divide the given numbers according to the rules and properties of operations.
First, let's start with the multiplication: (-2) × (15) = -30.
Now, let's move on to the division: -30 ÷ 23 = -1.3043 (rounded to four decimal places).
Then, we continue dividing: -1.3043 × (-56) = 72.9296 (rounded to four decimal places).
Finally, we divide once more: 72.9296 ÷ 34 = 2.1456 (rounded to four decimal places).
Therefore, the solution to (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.1456.
To solve the expression (-2) × (15) ÷ (23) × (-56) ÷ (34), you can follow the properties of operations and rules for multiplying and dividing.
Step 1: Begin by multiplying -2 and 15.
(-2) × (15) = -30
Step 2: Divide the result from Step 1 by 23.
-30 ÷ 23 = -1.3043 (rounded to four decimal places)
Step 3: Multiply the result from Step 2 by -56.
-1.3043 × (-56) = 73.086 (rounded to three decimal places)
Step 4: Divide the result from Step 3 by 34 to get the final answer.
73.086 ÷ 34 = 2.150 (rounded to three decimal places)
Therefore, the solution to the expression (-2) × (15) ÷ (23) × (-56) ÷ (34) is approximately 2.150.